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Finding the Fourth Proportional to 13,246.16, 19,871.40 and 4,010

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Solution

The fourth proportional to 13,246.16, 19,871.40 and 4,010 is: 6,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.16 : 19,871.40 = 4,010 : x
  2. Step 2: Convert to fraction form
    13,246.16/19,871.40 = 4,010/x
  3. Step 3: Cross multiply
    13,246.16x = 19,871.40 × 4,010
  4. Step 4: Simplify right side
    13,246.16x = 79,684,314
  5. Step 5: Solve for x
    x = 79,684,314/13,246.16
  6. Step 6: Final answer
    x = 6,015.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.